You check out at the grocery store with $32.74 worth of stuff. You pay with $50 bill. How much change will you receive
1 answer:
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Answer: for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
Answer:
10, 12, 14, 16
Step-by-step explanation:
Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.
Lets assume the first number be "x".
As it is even integers
∴ Second consecutive number will be
Third consecutive number will be
Fourth consecutive number will be
Now, as given seven times the first exceeds their sum by 18.
∴
solving the equation to find the number.
⇒
Opening parenthesis
⇒
subtracting both side by 4x
⇒
Dividing both side by 3
∴ x= 10.
Hence, subtituting the value x to find four consecutive even integers.
First number is 10
Second consecutive number will be = 12
Third consecutive number will be = 14
Fourth consecutive number will be = 16
∴ Four consecutive even integers are 10,12,14,16.
<h2>Answer:</h2>
The equation that is used to model the length of ladder in terms of x is:
We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.
where x is the distance between the top of the ladder and the ground.
and (x-7) is the distance between the foot of the ladder and the wall.
Hence, using Pythagorean Theorem we have:
Hence, the answer is: